Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25270t |
Isogeny class |
Conductor |
25270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-24527840518160 = -1 · 24 · 5 · 73 · 197 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 0 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-124011,-16862231] |
[a1,a2,a3,a4,a6] |
j |
-4483146738169/521360 |
j-invariant |
L |
3.0529008511935 |
L(r)(E,1)/r! |
Ω |
0.12720420213306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350l1 1330d1 |
Quadratic twists by: 5 -19 |